Same Odds, Different Deals: How Risk Framing Shapes AI Collusion
Haleema Tallat · Team Core
Submitted to AI Collusion Research Sprint. Sprint projects are early-stage work by participants, not Apart Research publications.
Collusion-deterrence evaluations usually state an enforcement risk to an AI agent and count how often it proposes a prohibited deal. They implicitly treat the agent as responding to the odds alone. We test whether the same odds, described differently, produce the same deals. In a scored verification task with executed lotteries, we ran three preregistered blocks with DeepSeek-V3.2, GPT-4.1-mini and Llama-3.3-70B (26,820 scored decisions). Holding probability and penalty fixed, we varied only the description. Proposal rates moved by up to 19 points when a partner rather than an audit might report, by up to 38 points when "10%" became "1 report in 10", and by up to 71 points when a single past report was recent rather than old. Directions differed by model, and DeepSeek still stated the correct probabilities when asked separately. A truthful one-line risk summary closed most of the gap in one model but pushed another to 98% proposals. Deterred agents sent fewer proposals but did not make them harder to detect: a fixed LLM reporter's report probability changed by at most 1.4 points. Expected simulated misconduct fell with sending, though proportionally less than expected reports, an exploratory gap that does not survive multiplicity correction. Proposals also rarely became completed deals: live partners accepted 0 of 180 drafts and carried out 1 of 60 three-round conversations. Deterrence measured under one risk description is therefore fragile. Evaluators should test matched descriptions and check proposal counts against outcomes.
Reviews
I enjoyed this study. Sensitivity to phrasing is familiar, but the controlled comparisons show why it matters for evaluating deterrence. I particularly appreciate the transparent reporting of predictions that failed and fixes that did not work. The finding that a truthful risk summary can help one model and backfire in another is especially interesting.
My main question is what explains the differences across models. Are they responding differently to risk, to the prospect of being reported, or to the prohibited nature of the agreement? A matched decision with the same probabilities and payoffs but no rule-breaking could help distinguish these explanations. Independent tests of the models’ responses to ethical conflicts might also provide useful hypotheses, although their ability to predict strategic behaviour would itself need testing.
The gap between proposing and completing a deal is also worth investigating as a mechanism. Building on your observation that the role prompts differ, a controlled comparison that exchanges the proposer’s and recipient’s responsibilities while holding incentives fixed could help explain why willingness to propose translates so poorly into willingness to participate.
Finally, I found the presentation quite terse. A worked example showing exactly what an agent sees, chooses and earns would help considerably. I would also reduce the number of bullet points in favor of explanatory writing and intuitions.
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This paper tests whether collusion-deterrence evaluations are measuring the model or the wording. Holding enforcement probability and penalty fixed, it varies only the description, and finds that who might report, a stated rate versus a matched record, and the recency of a single past report move proposal rates by as much as or more than the penalty itself, in directions that differ by model, even when the model states the correct probability when asked. The methodological point is strong and consequential for anyone running deterrence evals, and the preregistered structure makes the negative results on a truthful summary fix credible. The most interesting finding for the collusion field is the proposer-partner asymmetry: models that readily propose a prohibited deal almost never accept one as the counterpart. That LLMs are description-sensitive is not new, and the paper says so, so the contribution is showing it in a deterrence-measurement setting rather than discovering it. Conceptually this is a study of evaluation fragility more than of collusion, and the model-specific directions mean no general law emerges. A careful and useful paper for evaluators.
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Cite this project
@misc{tallat2026same,
title = {{Same Odds, Different Deals: How Risk Framing Shapes AI Collusion}},
author = {Haleema Tallat},
year = {2026},
month = oct,
note = {Submitted to AI Collusion Research Sprint, an Apart Research Sprint},
howpublished = {\url{https://apartresearch.com/sprints/projects/same-odds-different-deals-how-risk-framing-shapes-ai-collusion-oblx}},
url = {https://apartresearch.com/sprints/projects/same-odds-different-deals-how-risk-framing-shapes-ai-collusion-oblx}
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